Select the correct combination of mathematical signs to replace the * signs and balance the given equation.

16 * 17 * 14 * 2 * 3 * 251 

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SSC CPO 2024 Official Paper-I (Held On: 27 Jun, 2024 Shift 2)
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  1. −, −, ÷, ×, =
  2. ×, −, ÷, −, =
  3. ×, −, ÷, ×, =
  4. ×, −, +, ×, =

Answer (Detailed Solution Below)

Option 3 : ×, −, ÷, ×, =
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Detailed Solution

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Given equation: 16 * 17 * 14 * 2 * 3 * 251

BODMAS Table:

qImage14137

Let's check each option one by one.

Option 1) -, -, ÷, ×, =

Given: 16 * 17 * 14 * 2 * 3 * 251

After replacing the * signs we get;

⇒ 16 - 17 - 14 ÷ 2 × 3 = 251

⇒ 16 - 17 - 7 × 3 = 251

⇒ 16 - 17 - 21 = 251

⇒ - 22 ≠ 251

⇒ LHS ≠ RHS

Option 2) ×, -, ÷, -, =

Given: 16 * 17 * 14 * 2 * 3 * 251

After replacing the * signs we get;

⇒ 16 × 17 - 14 ÷ 2 - 3 = 251

⇒ 16 × 17 - 7 - 3 = 251

272 - 7 - 3 = 251

⇒ 262 ≠ 251

⇒ LHS ≠ RHS

Option 3) ×, -, ÷, ×, =

Given: 16 * 17 * 14 * 2 * 3 * 251

After replacing the * signs we get;

16 × 17 - 14 ÷ 2 × 3 = 251

⇒ 16 × 17 - × 3 = 251

272 - 21 = 251

⇒ LHS = RHS

Option 4) ×, -, +, ×, =

Given: 16 * 17 * 14 * 2 * 3 * 251

After replacing the * signs we get;

16 × 17 - 14 + 2 × 3 = 251

272 - 14 + 6 = 251

⇒ 272 - 14 + 6 = 264

⇒ 264 ≠ 251

⇒ LHS ≠ RHS

Hence, the correct answer is "Option 3".

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